A normally distributed population has a mean of 80 and standard deviation of 20.

Question

A normally distributed population has a mean of 80 and standard deviation of 20.

Calculate the z-score value for the following sample means and sample sizes.

(a) =

(b) =

(c) =

(d) =

(e) =

(f) =

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Population Mean = 80 Population Standard Deviation ? = 20 A normally distributed population has a mean of 80 and standard deviation of 20. Calculate the z-score value for the following sample means and sample sizes. Population Mean ½ = 80 Population Standard Deviation ? = 20 Sample Mean (M) Sample Size (n) Standard Error (?M) z score 90 4 (a) (b) 84 25 (c) (d) 50 100 (e) (f) (a) = ave (f) = (e) = (d) = (c) = (b) =

Explanation / Answer

(a) s/vn= 20/sqrt(4) =10

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(b) Z-score= (X-mu)/(s/vn)

=(90-80)/10

=1

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(c)20/sqrt(25) = 4

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(d)(84-80)/4 =1

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(e)20/sqrt(100) = 2

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(f)(50-80)/2 =-15

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